Revision as of 21:28, 16 July 2022 edit Ytstat (talk \| contribs) 2 edits m Corrected some typos in section "As a set of independent binary regressions" Tag: Visual edit ← Previous edit		Revision as of 21:37, 16 July 2022 edit undo CaeSoMa (talk \| contribs) 7 edits →As a set of independent binary regressions Next edit →
Line 93: :<math> \begin{align} \Pr(Y_i=1) &= \frac{e^{\boldsymbol\beta_1 \cdot \mathbf{X}_i}}{1 + \sum_{jk=1}^{K-1} e^{\boldsymbol\~~beta_j~~beta_k \cdot \mathbf{X}_i}} \\ \\ \Pr(Y_i=2) &= \frac{e^{\boldsymbol\beta_2 \cdot \mathbf{X}_i}}{1 + \sum_{jk=1}^{K-1} e^{\boldsymbol\~~beta_j~~beta_k \cdot \mathbf{X}_i}} \\ \cdots & \cdots \\ \Pr(Y_i=K-1) &= \frac{e^{\boldsymbol\beta_{K-1} \cdot \mathbf{X}_i}}{1 + \sum_{jk=1}^{K-1} e^{\boldsymbol\~~beta_j~~beta_k \cdot \mathbf{X}_i}} \\ \end{align} </math>

Multinomial logistic regression: Difference between revisions